On the existence of global Nash slices

DOI10.1007/s40574-014-0017-6zbMath1316.58002OpenAlexW2036270872MaRDI QIDQ2339580

Francesco Guaraldo

Publication date: 1 April 2015

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-014-0017-6

zbMATH Keywords

embeddingapproximationequivariantsliceNash manifoldNash group

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Embeddings in differential topology (57R40) Real-analytic and Nash manifolds (58A07) Noncompact Lie groups of transformations (57S20)

Cites Work

• On representations of real Nash groups
• One-dimensional Nash groups
• On the existence of slices for actions of non-compact Lie groups
• Nash manifolds
• Parallelizability of proper actions, global K-slices and maximal compact subgroups
• Uniqueness questions in real algebraic transformation groups
• Nash \(G\) manifold structures of compact or compactifiable \(C^ \infty G\) manifolds
• Three basic results for real analytic proper \(G\)-manifolds
• Quotients of real algebraic \(G\) varieties and algebraic realization problems
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